Least Common Multiple of 744, 682, 997, 349, 868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 744, 682, 997, 349, 868 i.e. 19933531464 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 682, 997, 349, 868 is 19933531464.

LCM(744, 682, 997, 349, 868) = 19933531464

LCM of 744, 682, 997, 349, 868

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 744,682,997,349,868

Least Common Multiple (LCM) of 744,682,997,349,868 is 19933531464

2 744, 682, 997, 349, 868
2 372, 341, 997, 349, 434
31 186, 341, 997, 349, 217
6, 11, 997, 349, 7

∴ So the LCM of the given numbers is 2 x 2 x 31 x 6 x 11 x 997 x 349 x 7 = 19933531464

Least Common Multiple of 744,682,997,349,868 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 744,682,997,349,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,682,997,349,868) = 1

common factors(in case of two or more numbers have common factors) = 7688

GCF(744,682,997,349,868) x common factors =1 x 7688 = 7688

LCM(744,682,997,349,868) = ( 744 × 682 × 997 × 349 × 868 ) / 7688

LCM(744,682,997,349,868) = 153248989895232 / 7688

LCM(744,682,997,349,868) = 19933531464

∴ Least Common Multiple of 744,682,997,349,868 is 19933531464

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 744, 682, 997, 349, 868

1. What is the LCM of 744, 682, 997, 349, 868?

Answer: LCM of 744, 682, 997, 349, 868 is 19933531464.

2. What are the Factors of 19933531464?

Answer: Factors of 19933531464 are . There are integers that are factors of 19933531464

3. How to Find the LCM of 744, 682, 997, 349, 868 ?

Least Common Multiple of 744, 682, 997, 349, 868.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(744, 682, 997, 349, 868) = 2 x 2 x 2 x 3 x 7 x 11 x 31 x 349 x 997 = 19933531464.